More recently, Chen-Perepelitsa [1]} proved the vanishing
viscosity to the compressible Euler equations for the compressible
Navier-Stokes equations (REF ) by compensated compactness method
for the general case if the far field of the initial values of Euler
system (REF ) has no vacuums. Note that this result is quite
universal since the initial values of the Euler system can contain
vacuum states in the interior domain. Huang-Pan-Wang-Wang-Zhai
[2]} established the corresponding results to the
compressible Navier-Stokes equations (REF ) with
density-dependent viscosity.
